How to find ALL of the x intercepts

How to find ALL of the x intercepts

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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Quizizz Content

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The video tutorial explains how to find X intercepts by setting Y to 0 and solving the equation. It introduces the graphical approach to understanding the sine function, including its amplitude and range. The tutorial discusses the relationship between sine and angles, emphasizing the use of the unit circle. Finally, it explains how to find all X intercepts by considering the periodicity of the sine function and using coterminal angles.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in finding the X-intercepts of a function?

Set X equal to 0

Set Y equal to 0

Set the derivative to 0

Set the function to 1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the range of the basic sine function?

0 to 1

-1 to 1

0 to 2

-2 to 2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you quickly sketch the sine graph if you forget its shape?

Draw a straight line

Use a calculator

Use the derivative

Refer to the unit circle

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrants is the sine function negative?

First and second

Second and third

Third and fourth

First and fourth

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reference angle for an angle where sine equals -1/2?

π/4

π/3

π/6

π/2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the period of the sine function?

π

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you express the repetition of X-intercepts in the sine function?

Subtract 2π

Subtract π

Add 2π

Add π